Finite Partially Exchangeable Laws are Signed Mixtures of Product Laws

Paolo Leonetti

Given a partition $\{I_1,\dots ,I_k\}$ of $\{1,\dots ,n\}$, let $(X_1,\dots ,X_n)$ be random vector with each $X_i$ taking values in an arbitrary measurable space $(S,\mathcal{S})$…